Question

Question #efaa9

Answer 1

Let the dimensions of rectangle be `a` and `b`

Area = `a*b`
Perimeter = `2*(a+b)`

Given: `a*b = 2*(a+b) => ab -2a -2b = 0`

Let's plot this
graph{(x * y - 2 x - 2 y )= 0 [-10, 10, -5, 5]}

As visible from the graph, there are infinitely many solutions to this equation. We know that `a,b` can only be positive, and still there are infinitely many solutions.

One such solution is `a =3, b = 6`, another one is `a=4,b=4`